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Finding the Third Proportional to 44.67 and 97.18

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Solution

The third proportional to 44.67 and 97.18 is: 211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.67 : 97.18 = 97.18 : x
  2. Step 2: Convert to fraction form
    44.67/97.18 = 97.18/x
  3. Step 3: Cross multiply
    44.67x = 97.18 × 97.18
  4. Step 4: Simplify right side
    44.67x = 9,443.23
  5. Step 5: Solve for x
    x = 9,443.23/44.67
  6. Step 6: Final answer
    x = 211.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.